Let's see if this gets us MUSL wheels.

.github/workflows/CI.yml

@@ -69,7 +69,7 @@ jobs:
       - name: Run nox
         run: nox -s "${{ matrix.noxenv }}"
 
-  linux:
+  manylinux:
     needs: test
     runs-on: ubuntu-latest
     strategy:
@@ -92,6 +92,29 @@ jobs:
           name: wheels
           path: dist
 
+  musllinux:
+    needs: test
+    runs-on: ubuntu-latest
+    strategy:
+      matrix:
+        target: [x86_64-unknown-linux-musl, i686-unknown-linux-musl]
+    steps:
+      - uses: actions/checkout@v3
+      - uses: actions/setup-python@v4
+        with:
+          python-version: "3.x"
+      - name: Build wheels
+        uses: PyO3/maturin-action@v1
+        with:
+          target: ${{ matrix.target }}
+          args: --release --out dist --interpreter '3.8 3.9 3.10 3.11 pypy3.8 pypy3.9'
+          manylinux: musllinux_1_2
+      - name: Upload wheels
+        uses: actions/upload-artifact@v3
+        with:
+          name: wheels
+          path: dist
+
   windows:
     needs: test
     runs-on: windows-latest